Traveling waves in a diffusive predator–prey model with holling type-III functional response
By Wan-Tong Li, Shiliang Wu. 2008
90 citations recorded by the source corpus.
We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator–prey system in the traveling wave variable. The methods used to prove the results are the shooting argument, invariant manifold theory and the Hopf bifurcation theorem.
Subfields: Genetics, Mathematical Physics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/06acdd322b3c8fdb27e4c7a3653cbebdfd2ced02
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In Genetics
- Tzi-Sheng Yang
- Chi-ru Yang
- Wenzhang Huang
- Tinghui Yang
- Cheng-Hsiung Hsu
- Chunhua Ou
- Guo Lin
- Ahmad Alhasanat
In Mathematical Physics
In Public Health, Environmental and Occupational Health
- Tzi-Sheng Yang
- Chi-ru Yang
- Wenzhang Huang
- Tinghui Yang
- Cheng-Hsiung Hsu
- Chunhua Ou
- Guo Lin
- Ahmad Alhasanat
Citations in the corpus
- Traveling Wave Solutions for a Class of Predator–Prey Systems (2012, methodology): “[11] extended the result in [9] to a more general Holling type III functional response”
- Existence of traveling wave solutions for diffusive predator–prey type systems (2012, methodology): “Later, Li and Wu [16] also consider the system (1.3) but with Holling type III functional response By using the similar methods of [4,5], they establish the existence of traveling wave solutions of (1.4) for the case d 1 = 0.”